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Finding the Fourth Proportional to 211.36, 291.63 and 178.30

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Solution

The fourth proportional to 211.36, 291.63 and 178.30 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 291.63 = 178.30 : x
  2. Step 2: Convert to fraction form
    211.36/291.63 = 178.30/x
  3. Step 3: Cross multiply
    211.36x = 291.63 × 178.30
  4. Step 4: Simplify right side
    211.36x = 51,997.63
  5. Step 5: Solve for x
    x = 51,997.63/211.36
  6. Step 6: Final answer
    x = 246.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.